dorsal/arxiv
View SchemaChain of nuclear spins system quantum computer taking into account second neighbor Ising spins interaction and numerical simulation of Shor factorization of N=4
| Authors | Gustavo V. Lopez, Lorena Lara |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608148 |
| URL | https://arxiv.org/abs/quant-ph/0608148 |
Abstract
For a one-dimensional chain of four nuclear spins (1/2) and taking into account first and second neighbor interactions among the spin system, we make the numerical simulation of Shor prime factorization algorithm of the integer number N=4 to study the influence of the second neighbor interaction on the performance of this algorithm. It is shown that the optimum Rabi's frequency to control the non-resonant effects is dominated by the second neighbor interaction coupling parameter ($J'$), and that a good Shor quantum factorization is achieved for a ratio of second to first coupling constant of $J'/J\ge 0.04$.
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"date_created": "2026-03-02T18:02:31.101000Z",
"date_modified": "2026-03-02T18:02:31.101000Z",
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"abstract": "For a one-dimensional chain of four nuclear spins (1/2) and taking into\naccount first and second neighbor interactions among the spin system, we make\nthe numerical simulation of Shor prime factorization algorithm of the integer\nnumber N=4 to study the influence of the second neighbor interaction on the\nperformance of this algorithm. It is shown that the optimum Rabi\u0027s frequency to\ncontrol the non-resonant effects is dominated by the second neighbor\ninteraction coupling parameter ($J\u0027$), and that a good Shor quantum\nfactorization is achieved for a ratio of second to first coupling constant of\n$J\u0027/J\\ge 0.04$.",
"arxiv_id": "quant-ph/0608148",
"authors": [
"Gustavo V. Lopez",
"Lorena Lara"
],
"categories": [
"quant-ph"
],
"title": "Chain of nuclear spins system quantum computer taking into account second neighbor Ising spins interaction and numerical simulation of Shor factorization of N=4",
"url": "https://arxiv.org/abs/quant-ph/0608148"
},
"schema_id": "dorsal/arxiv",
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"execution_id": "307e6b61-3a2f-4a13-a01e-a8dc316f309d",
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"type": "Model",
"variant": "snapshot-2026-03-01",
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